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55913647964160 = 221357318191
BaseRepresentation
bin11001011011010011010010…
…01000000000000000000000
321022222021220021002212222110
430231221221020000000000
524312042122334323120
6314530213020335320
714530425214635630
oct1455515110000000
9238867807085873
1055913647964160
11168a7932678968
1263305336a4540
13252783296547c
14db4340bb26c0
1566e697b542e0
hex32da69200000

55913647964160 has 704 divisors, whose sum is σ = 211106182201344. Its totient is φ = 12366485913600.

The previous prime is 55913647964147. The next prime is 55913647964173. The reversal of 55913647964160 is 6146974631955.

It is an interprime number because it is at equal distance from previous prime (55913647964147) and next prime (55913647964173).

It is a junction number, because it is equal to n+sod(n) for n = 55913647964091 and 55913647964100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6826225665 + ... + 6826233855.

Almost surely, 255913647964160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55913647964160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105553091100672).

55913647964160 is an abundant number, since it is smaller than the sum of its proper divisors (155192534237184).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

55913647964160 is an frugal number, since it uses more digits than its factorization.

55913647964160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8279 (or 8239 counting only the distinct ones).

The product of its (nonzero) digits is 146966400, while the sum is 66.

The spelling of 55913647964160 in words is "fifty-five trillion, nine hundred thirteen billion, six hundred forty-seven million, nine hundred sixty-four thousand, one hundred sixty".